Search a number
-
+
531592214496 = 253721093103393
BaseRepresentation
bin1111011110001010101…
…11010111011111100000
31212211010120112111021220
413233011113113133200
532202200101330441
61044113214015040
753256231161100
oct7570527273740
91784116474256
10531592214496
111954a0a45882
12870391a7480
133b18a351015
141ba2ccd7200
15dc6441e466
hex7bc55d77e0

531592214496 has 144 divisors (see below), whose sum is σ = 1624755649104. Its totient is φ = 151743062016.

The previous prime is 531592214453. The next prime is 531592214497. The reversal of 531592214496 is 694412295135.

It is a super-2 number, since 2×5315922144962 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531592214497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5089776 + ... + 5193168.

It is an arithmetic number, because the mean of its divisors is an integer number (11283025341).

Almost surely, 2531592214496 is an apocalyptic number.

531592214496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531592214496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812377824552).

531592214496 is an abundant number, since it is smaller than the sum of its proper divisors (1093163434608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

531592214496 is a wasteful number, since it uses less digits than its factorization.

531592214496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104513 (or 104498 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The spelling of 531592214496 in words is "five hundred thirty-one billion, five hundred ninety-two million, two hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1093 1176 1568 2186 2352 3279 4372 4704 6558 7651 8744 13116 15302 17488 22953 26232 30604 34976 45906 52464 53557 61208 91812 103393 104928 107114 122416 160671 183624 206786 214228 244832 310179 321342 367248 413572 428456 620358 642684 723751 734496 827144 856912 1240716 1285368 1447502 1654288 1713824 2171253 2481432 2570736 2895004 3308576 4342506 4962864 5066257 5141472 5790008 8685012 9925728 10132514 11580016 15198771 17370024 20265028 23160032 30397542 34740048 40530056 60795084 69480096 81060112 113008549 121590168 162120224 226017098 243180336 339025647 452034196 486360672 678051294 791059843 904068392 1356102588 1582119686 1808136784 2373179529 2712205176 3164239372 3616273568 4746359058 5424410352 5537418901 6328478744 9492718116 10848820704 11074837802 12656957488 16612256703 18985436232 22149675604 25313914976 33224513406 37970872464 44299351208 66449026812 75941744928 88598702416 132898053624 177197404832 265796107248 531592214496